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TWI270263B - Fast joint detection - Google Patents

Fast joint detection Download PDF

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Publication number
TWI270263B
TWI270263B TW092127547A TW92127547A TWI270263B TW I270263 B TWI270263 B TW I270263B TW 092127547 A TW092127547 A TW 092127547A TW 92127547 A TW92127547 A TW 92127547A TW I270263 B TWI270263 B TW I270263B
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data
matrix
equation
fourier transform
combined
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TW092127547A
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Chinese (zh)
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TW200417185A (en
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Parthapratim De
Jung-Lin Pan
Ariela Zeira
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Interdigital Tech Corp
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B1/00Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/69Spread spectrum techniques
    • H04B1/707Spread spectrum techniques using direct sequence modulation
    • H04B1/7097Interference-related aspects
    • H04B1/7103Interference-related aspects the interference being multiple access interference
    • H04B1/7105Joint detection techniques, e.g. linear detectors

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Abstract

K data signals are transmitted over a shared spectrum in a code division multiple access communication system. A combined signal is received and sampled over the shared spectrum. The combined signal has the K transmitted data signals. A combined channel response matrix is produced using the codes and impulse responses of the K transmitted data signals. A block column of a combined channel correlation matrix is determined using the combined channel response matrix. Each block entry of the block column is a K by K matrix. At each frequency point k, a K by K matrix Lambda(k) is determined by taking the Fourier transform of the block entries of the block column. An inverse of Lambda(k) is multiplied to a result of the Fourier transform. Alternately, forward and backward substitution can be used to solve the system. An inverse Fourier transform is used to recover the data from the K data signals.

Description

1270263 玖、發明說明: 【發明所屬之技術領域】 本發明通常係有關於無線通信系統。特別是,本發明係有關 於在一無線通信系統中之資料偵測。 【先前技術】 第一圖一無線通信系統ίο之一介紹。此通信系統1〇係具有基 地台12,至1么(12) ’其係與使用者設備(ue) 14至14 (14)進行 通仏。各個基地台12係具有一關連操作區域,並在此與其操作區 域中之使用者設備(UE) 14進行通信。 在部分通^系統中’諸如:使用分碼多重存取之分頻雙工(卩加 /CDMA)及使用分碼多重存取之分時雙工(TDD/CDM幻,多重通 信係於相同頻譜上進行傳送。此等通信係利用其通道碼 (channelization code)加以區別。為更有效地使用此頻譜,使 用分碼多重存取之分時雙工⑽/漏)通信系統係使用分割為 通信時槽之重覆訊框。在此系統中之一通信將會被指派以單一或 多重關連碼及時槽。 由於多重通信可能在相同頻譜上及在相同時間内傳送,在此 系統中之-接收器必須能齡多重通信間進行識別。偵測此等信 號之-種手段係多重使用者偵測⑽)。在多重使用者細⑽) 中’與所有使用者設備(UE) 14,亦即:使用者,關連之信號係 同時加以偵測。由—單—傳輸器偵測—多重碼傳輸之另_種手段 1270263 係單-使用賴測(SUD)。在單—使用者偵測(sud)中,為了 自接收器之多重碼傳輸中還原資料,接收信號係通過—等化階 段、並且利用單一或多重碼進行解擴(一⑽。實施多二吏 用者偵測(MUD)之手段及單—使用者侧(SUD)之等化階段係 包括:使用-Cholesky或-近似chQlesky分解。此等手段係具有 一南度複雜性。此高度複雜性會導致功率消耗之增加、並會造成 使用者設備(UE) 14之電池壽命縮短。因此,本發明之目的便是 提供偵測接收資料之其他手段。 【發明内容】 K資料信號係於一分碼多重存取(CDMA)通信系統中之一共用 頻譜上進行傳輸。一組合信號係接收及取樣於此共用頻譜上。此 組合信號係具有此等K傳輸資料信號。一組合通道響應矩陣係使用 此等K傳輸資料信號之資料碼及脈衝響應以產生。一組合通道相關 矩陣之一方塊欄位係使用此組合通道響應矩陣以決定。此方塊棚 位之各個方塊項目係一KxK矩陣。在各個頻率點k,一κχκ矩陣Λ⑴ 係利用計算此方塊欄位之方塊項目之傅立葉轉換以決定。此ΚχΚ矩 陣Λ⑴之一逆矩陣係乘以此傅立葉轉換之一結果。或者,前向及後 向替代係可以用來解此系統。一逆傅立葉轉換係用以自此等Κ資料 信號中還原資料。 1270263 【實施方式】 第二圖係介紹在一使用分碼多重存取之分時雙工(τιφ/ CDMA) g 使速聯合偵測之—簡化傳輪器26及接收器 28,雖然快速聯合侧亦可以細於其㈣統,諸如··使用分碼 多重存取之分頻雙工(CDMA/FDD)。在―典·、統中,一傳輸器 26係位於各個使用者設備(UE) 14中、且傳送多重通信之多重傳 輸電路26係位於各個基地台12巾。聯合伽彳接收II獅可以位於 一基地台12中、使用者設備14中、或同時位於兩者中。 此傳輸器26係在一無線放射通道3〇上傳送資料。在此傳輸器 26中之一資料產生器32係產生欲與此接收器28進行通信之資料。 调麦/擴政/蛛練序列插入裝置34係利用適當資料碼以擴散資 料、並將此擴散參考資料以適當指派時槽中之一中間文字訓練序 列進行時間多工,進而產生一個或多個通信叢發。 一典型通信叢發16係具有一中間文字2〇、一看守周期18、以 及兩個資料場域22、24,如第三圖所示。此中間文字2〇係將此兩 個資料場域22、24分離、且此看守周期18係將此等通信叢發分離, 藉以考慮自不同傳輸器26傳輸叢發之到達時間差。此兩個資料場 域22、24係包含此通信叢發之資料。 此(等)通信叢發係利用一調變器36調變為射頻(砂)。一 天線38係經由此無線放射通道3〇以放射此射頻(即)信號至此接 收器28之一天線4〇。傳輸通信所使用之調變類型係可以是任何熟 1270263 習此技藝者所暸解之_ ’諸如:四相移位鍵控(㈣)或正交 振幅調變(QAM) 〇 此接收之天線40係接收各種射頻信號。此等接收信號係 利用-解勘42進行解調,藉以產生—基頻錢。此基頻信號係 利用-取樣裝置43 ’諸如:單-或多重類比數位轉換器、以此等 傳輸叢發之一倍晶片速率或複數倍晶片速率進行取樣。此等取樣 係在此時槽中,經由諸如一通道估算裝置44及一快速聯合偵測裝 置46,利用指派給此等接收叢發之適當資料碼加以處理。此通道 估算裝置44係使用在此等基頻取樣中之中間文字訓練序列元件, 藉以提供通道資訊,諸如:通道脈衝響應。所有傳輸信號之通道 脈衝響應係可以視作一矩陣Η。此通道資訊係為快速聯合偵測裝置 46所使用,藉以估算接收通信叢發之傳輸資料為軟符號。 此快速聯合偵測裝置46係使用此通道估算裝置44所提供之通 道資訊及此傳輸器26所使用之已知擴散資料碼,藉以估算預想接 收通信叢發之資料。 雖然快速聯合偵測係使用第三代合作計晝(3Gpp)通用地面 放射存取(UTRA)分時雙工(TDD)系統解釋為基本通信系統,此 快速和合债測亦可以應用於其他系統。此系統係一直接序列寬頻 分碼多重存取(W—CDMA)系統,其中,上行鍊路及下行鍊路通信 係偈限於互斥時槽。 此接收器28係接收同時到達之全部]^個叢發。此等以固叢發係 1270263 在一觀察間隔中重疊於彼此上方。對於第三代合作計晝(3GPP) 通用地面放射存取⑽A)分時雙工(獅)系統而言,-時槽之 各個貝料場域伽镜於—觀察間隔。驗第k個紐之資料碼係表 不為〇。此κ個叢發係可以源自κ個不同傳輸器、或對多重資料碼 傳輸碼而言,小於Κ個不同傳輸器。 一通信叢發之各㈣料場域储有-預定數目,Ν,之傳輪符 號。各個符號係使用-預定數目之晶片進行傳輸,其係擴散因子, SF:因此’各個資料場域係具有_個晶片。待顧無線放射通 道後’各個符號係具有—脈衝響應,諸如:長度货晶片之脈衝響應。 長度w之典魏鋪、57。目此,各健收場域係具挪池丄 晶片或NC晶片之一長度。 在一觀察間隔中κ個資料場域之各個第κ場域係可以在接收 器、利用等式(1)加以模型為: Κ 等式(1) £(k) =Α⑴d(k),k^l, 係第k場域之接收貢獻+係第k場域之組合通道響應。 备N郝陣。在a叹各個第細4⑴之第】元件符號響胳 之—零點填補版本。此符號響躲)係第k場域估算響應h⑴及此場 域擴散貧料碼〇之疊積(convolution)。“)係第匕資料場域中 之未知資料符號。h〇〇係具有長度w晶片、且可以用等式(2)表示· :(k) =X(k) 等式(2) .hw 、不· X⑴係反應傳輸H增益及路麵耗。£,純道脈衝響應 !27〇263 對於上行鍊路通信而言,各個^及各個工⑴係不同的。對 ^下行鍊路而言,所有場域係具有相同但各個上⑴係不同 沾。右傳輸多樣性係用於下行鍊路中,則各個工及广係不同 式(3在)無線通道上傳送、所有Κ個場域之全部接收向計係根據等 r=ir+n- ~; 等式(3) S係一零平均雜訊向量。 00 將所有資料場域之^組合至一整體響應_級將各個叢發这 之未知資料組合至一整體資· «,等式⑴便成為等式⑷―。 Ι=Α-+Π 等式⑷ 使用-人機系統工程(MMSE)解法以決定雜根據等式⑸ ㈣'㈤ 等式(5) (.)喺表示Hermetian函數(複共軛轉置)。_人機系統工 程(MMSE)之R係根據等式(6)。 R=M+rI 等式(6) π係雜訊變異,典型地係取自此通道估算裝置料,且丨係單位 矩陣。 使用快速傅立葉轉換(FFT),雖然其他的傅立葉轉換亦可以 使用’但此等式最好係根據等式(7)求解。 〔F(d) 〕k 等式(?) 1270263 針久 稍賴立葉觀_。〔.〕_表示此等式 係在各個頻幅求解。Λ +方物轉λ之大術之方塊 項目。此方塊對角矩陣Λ之推導係說明如下。捨棄直接去解等式 7,等式⑺射前向及後向#代法求解。 第四圖係利用快速聯合偵測決定資料向到之一較佳方法之 -流程彫此组合通道響應矩_系使用估算響雜υ及各個叢發c ⑴之擴散資料碼㈣決定,48。經由此組合通道相關矩陣,卜Μ,1270263 发明, DESCRIPTION OF THE INVENTION: TECHNICAL FIELD OF THE INVENTION The present invention generally relates to a wireless communication system. In particular, the present invention relates to data detection in a wireless communication system. [Prior Art] The first picture is a description of the wireless communication system ίο. The communication system 1 has a base station 12, which is connected to user equipment (ue) 14 to 14 (14). Each base station 12 has an associated operating area and is here in communication with a User Equipment (UE) 14 in its operating area. In some systems, such as: frequency division duplex (Z/Plus/CDMA) using code division multiple access and time division duplex using code division multiple access (TDD/CDM magic, multiple communication systems in the same spectrum) Transmission is performed. These communication systems are distinguished by their channelization code. For more efficient use of this spectrum, time division duplex (10)/drain communication systems using code division multiple access are used for segmentation into communication. The repeat of the slot. One of the communications in this system will be assigned a single or multiple associated code time slot. Since multiple communications may be transmitted on the same spectrum and in the same time, in this system the receiver must be able to identify multiple communication rooms. The means of detecting such signals is multi-user detection (10). In the multiple user details (10)), the signal associated with all user equipment (UE) 14, that is, the user, is detected simultaneously. Detected by - single-transmitter - another means of multi-code transmission 1270263 is a single-use test (SUD). In a single-user sd (sud), in order to restore data from the multi-code transmission of the receiver, the received signal is de-spreaded by a singularization phase and using a single or multiple code (one (10). The means of user detection (MUD) and the single-user-side (SUD) equalization phase include: using -Cholesky or - approximating chQlesky decomposition. These methods have a southern complexity. This high degree of complexity will This leads to an increase in power consumption and causes a shortened battery life of the user equipment (UE) 14. Therefore, the object of the present invention is to provide other means for detecting the received data. [Summary of the Invention] The K data signal is in a code. One of the multiple access (CDMA) communication systems transmits on a shared spectrum. A combined signal is received and sampled on the shared spectrum. The combined signal has such K transmitted data signals. A combined channel response matrix is used. The data code and impulse response of the K transmission data signal are generated. A block field of a combined channel correlation matrix is determined by using the combined channel response matrix. Each block item is a KxK matrix. At each frequency point k, a κ χ κ matrix Λ(1) is determined by the Fourier transform of the block item that calculates the block field. This ΚχΚ matrix Λ(1) is inversely matrix multiplied by one of the Fourier transforms. Alternatively, forward and backward substitution systems can be used to solve the system. An inverse Fourier transform system is used to restore data from such data signals. 1270263 [Embodiment] The second figure introduces the use of a code Multiple access time division duplex (τιφ/ CDMA) g enables speed joint detection - to simplify the wheeler 26 and the receiver 28, although the fast joint side can also be finer than its (four) system, such as · using code division multiple Frequency division duplex (CDMA/FDD) for access. In the "system", a transmitter 26 is located in each user equipment (UE) 14, and the multiple transmission circuit 26 for transmitting multiple communications is located at each base. The unit 12 can be located in a base station 12, in the user equipment 14, or both. The transmitter 26 transmits data on a wireless radio channel 3. In 26 A data generator 32 generates data to be communicated with the receiver 28. The wheat/revolution/spike sequence inserting device 34 utilizes an appropriate data code to spread the data and distribute the reference material to the appropriate time slot. One of the intermediate text training sequences is time multiplexed to generate one or more communication bursts. A typical communication burst 16 series has an intermediate text 2 〇, a guard period 18, and two data fields 22, 24 As shown in the third figure, the intermediate text 2 is used to separate the two data fields 22, 24, and the guard cycle 18 separates the communication bursts, so that the transmissions from different transmitters 26 are considered. The arrival time difference. The two data fields 22 and 24 contain the information of this communication burst. This (equal) communication burst is modulated into a radio frequency (sand) using a modulator 36. An antenna 38 is passed through the radio channel 3 to radiate the radio frequency (i.e.) signal to one of the antennas 4 of the receiver 28. The type of modulation used for transmission communication can be any known to those skilled in the art. _ 'such as: four-phase shift keying ((4)) or quadrature amplitude modulation (QAM) 〇 this receiving antenna 40 series Receive various RF signals. These received signals are demodulated using the -Exploration 42 to generate - the base frequency. The baseband signal is sampled by a -sampling means 43' such as a single- or multiple analog-bit digital converter, or the like, at a one-time wafer rate or a multiple-multiple wafer rate. These samples are processed in the slot at this time via, for example, a channel estimation device 44 and a fast joint detection device 46, using appropriate data codes assigned to the received bursts. The channel estimation device 44 uses the intermediate text training sequence elements in such baseband samples to provide channel information such as channel impulse response. All channels that transmit signals can respond as a matrix. This channel information is used by the fast joint detection device 46 to estimate the transmission data of the received communication burst as a soft symbol. The fast joint detection device 46 uses the channel information provided by the channel estimation device 44 and the known diffusion data code used by the transmitter 26 to estimate the data expected to receive the communication burst. Although the Fast Joint Detection is interpreted as a basic communication system using the 3rd Generation Partnership (3Gpp) Universal Terrestrial Radio Access (UTRA) Time Division Duplex (TDD) system, this fast and bonded test can also be applied to other systems. The system is a direct sequence wide frequency division multiple access (W-CDMA) system in which the uplink and downlink communication systems are limited to mutually exclusive time slots. This receiver 28 receives all of the bursts that arrive at the same time. These solid bundles 1270263 overlap above each other in an observation interval. For the 3rd Generation Partnership Project (3GPP) Universal Ground Radiation Access (10) A) Time Division Duplex (Lion) system, the individual bay fields of the time slot are gamuted to the observation interval. The data code of the kth New Zealand is not awkward. The κ bursts can originate from κ different transmitters, or less than 不同 different transmitters for multiple data code transmission codes. Each of the communication bursts (4) stock field stores a predetermined number, Ν, the pass symbol. Each symbol is transmitted using a predetermined number of wafers, which is a diffusion factor, SF: thus each data field has _ wafers. After each of the wireless radio channels, the individual symbols have an impulse response, such as an impulse response of a length cargo wafer. Length w of the Wei Weipu, 57. To this end, each of the field fields has a length of one of the wafers or NC wafers. The κ field system of each of the κ data fields in an observation interval can be modeled at the receiver using equation (1): Κ Equation (1) £(k) = Α(1)d(k), k^ l, is the receiving contribution of the kth field + the combined channel response of the kth field. Prepare N Hao array. In the a sigh of the fourth (1) of the fourth element symbol ringing - zero padding version. This symbol is a convolution of the k-field estimation response h(1) and the diffusion of the field. ") is an unknown data symbol in the data field of the second data. The h system has a length w wafer and can be represented by the equation (2). : (k) = X(k) Equation (2) .hw , No. X(1) is the reaction transmission H gain and road surface consumption. £, pure channel impulse response! 27〇263 For uplink communication, each ^ and each work (1) are different. For the downlink, all fields The domain system has the same but different (1) different systems. The right transmission diversity is used in the downlink, and all the transmissions of all the fields and the different channels (3) are transmitted on the wireless channel. The system is based on the equal r = ir + n - ~; Equation (3) S is a zero-average noise vector. 00 Combine all the data fields into an overall response _ level to combine the unknown data of each cluster To the whole capital, «, equation (1) becomes equation (4) -. Ι = Α - + Π equation (4) use - human-machine system engineering (MMSE) solution to determine the basis according to equation (5) (four) '(f) equation (5 (.)喺 represents the Hermetian function (complex conjugate transpose). _ Human System Engineering (MMSE) R is based on equation (6). R=M+rI Equation (6) π-system noise Typically, this channel is used to estimate the device material and the unit matrix is used. Fast Fourier Transform (FFT) is used, although other Fourier transforms can be used, but this equation is best solved according to equation (7). [F(d) 〕k Equation (?) 1270263 The needle is slightly longer than the 立立观_. [.]_ indicates that this equation is solved at each frequency. Λ + square object turns λ the big block of the project. The derivation of the cube diagonal matrix 说明 is described as follows. Discarding directly to solve equation 7, equation (7) shoots the forward and backward # generation method. The fourth graph uses the fast joint detection to determine the data direction. The method-process engraving of the combined channel response moment _ is determined by using the estimated noise and the spread data code (4) of each burst c (1), 48. Through this combined channel correlation matrix, divination,

49。在各個頻率點’一 ΚχΚ矩陣Λ,、經由計算一方塊行^方塊項 目之傅立葉轉細決定,5Q。較佳者,本實施嶋使用—中心行, 其與此矩陣R之左侧或右側至少距離W行。49. At each frequency point, a matrix is determined by calculating the Fourier transform of a block of squares, 5Q. Preferably, the present embodiment uses a center line that is at least W lines from the left or right side of the matrix R.

F〔A〇 k係使甩一矩陣乘法之一快速傅立葉轉換(fft)以決 定,5卜各個矩陣Λ⑴之逆矩陣,〔A'〕-,係加以決定。為決定 〔F (这)〕k 〔Λ^〕-1及F〔AHr〕k係在各個頻率點相乘。或者,〔ρ (这)〕k係使用LU分解以決定。λ⑴係分解為一下三角矩陣[及一 上二角矩陣U,52。使用前向替代,〔F (Αν)〕,53,及後 向替代,U〔F(d)〕k,54,〔F(d)〕潜、加以決定。g係利用F (这)之一逆快速傅立葉轉換以決定,55。 等式(7)之推導係說明如下。等式(4)之一最小均方差(MSE) 解係根據等式(8)以決定。雖然等式(7)係根據一人機系統工 程(MMSE)之解’快速聯合偵測係可以使用其他手段以實施,諸 如:一零力手段。 12 1270263 R- (A.A+a^I)d=Av #式⑻ —若使用-零力解,則H項係由等式⑻中省略,諸如:啦 (AA)卜Αγ。下列說明係此人機系敎程(顯e)解之一推導, 雖然一類似推導亦可以躲-零力解。為介紹目的…簡化範例 之R (其中,且W=2)係根據等式⑻。此範例係可以延展 至任何见及界。 0 0F[A〇 k is a fast Fourier transform (fft) of one of the matrix multiplications, and the inverse matrix of each matrix Λ(1), [A']-, is determined. In order to determine [F (this)] k 〔 Λ ^] -1 and F [AHr] k are multiplied at each frequency point. Alternatively, [ρ (this)] k is determined using LU decomposition. λ(1) is decomposed into a lower triangular matrix [and an upper two-dimensional matrix U, 52. Use forward substitution, [F (Αν)], 53, and backward substitution, U[F(d)]k, 54, [F(d)] potential. The g system is determined by inverse fast Fourier transform using one of F (this), 55. The derivation of equation (7) is explained below. One of the minimum mean square error (MSE) solutions of equation (4) is determined according to equation (8). Although equation (7) is based on the solution of a human machine system engineering (MMSE), the rapid joint detection system can be implemented using other means, such as a zero force means. 12 1270263 R- (A.A+a^I)d=Av #式(8)—If the -zero force solution is used, the H term is omitted from equation (8), such as: (AA) Α γ. The following description is one of the derivations of this human-machine system (e.g.), although a similar derivation can also hide-zero force solution. For the purpose of introduction... Simplify the example R (where, and W = 2) according to equation (8). This example can be extended to any point of view. 0 0

及*ί及I 〇 ^ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 〇 ^1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ^ύ 0 0 0 0 0 及· 0 0 0 0 0 等式(9)And *ί and I 〇^ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 〇^1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ^ 0 0 0 0 0 0 0 0 0 0 0 Equation (9)

此矩陣R之大小通常係(KNS) X (KNS)。在此矩陣R中之各個項 目,R,係一KxK方塊。在矩陣R之虛線内,此次矩陣係方塊循環的, 亦即··一循環矩陣之一順方塊方向延伸。矩陣R之部分,非方塊循 環之部分,係取決於最大多重路徑延展擴散,W。 在等式(9)中,此矩陣R之一方塊循環延展,R。,係根據等式 (10) ° 13 1270263 E: 5。 0 0 0 0 0 0 0 0 0 0 及ύ 0 0 0 0 0 0 及丨 0 0 0 0 0 0 A 0 0 0 0 0 0 為 0 0 0 0 0 0 A 0 0 0 0 0 0 吋 0 0 0 0 0 βΓ 0 0 0 0 0 -¾ 等式(10) 一”數位傅立葉轉換(DFT) —類似f,矩陣D係加以決定,諸如 r=DNDh。一種此類矩陣D係根據等式(11)。 D: •1知 jl&E - …e M, βύχ _ ΛΤΓ τ 層 ·· 4? r 1 u j ilCfac he ......£ )4ύπ Jjis^c \ ......£ Σκ 等式(11) L係一 KxK單位矩陣。 乘積DhD係根據等式(9) 等式(12) 參 u系一 mxm之單位矩陣。此方塊循環矩陣R。係乘以此矩, 諸如:根據等式(13)。 14 1270263 RD:(13) + 马 + + ^+^) +為+為)The size of this matrix R is usually (KNS) X (KNS). In each of the items in this matrix R, R is a KxK square. Within the dashed line of the matrix R, the matrix is cyclically looped, that is, one of the cyclic matrices extends in the direction of the square. The part of the matrix R, the part of the non-square loop, depends on the maximum multipath extension spread, W. In equation (9), one of the matrices of this matrix R is cyclically extended, R. , according to the equation (10) ° 13 1270263 E: 5. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 βΓ 0 0 0 0 0 -3⁄4 Equation (10) One-digit Fourier transform (DFT) - similar to f, the matrix D is determined, such as r = DNDh. One such matrix D is based on the equation (11 D: •1 know jl&E - ...e M, βύχ _ ΛΤΓ τ layer·· 4? r 1 uj ilCfac he ......£ )4ύπ Jjis^c \ ......£ Σκ Equation (11) L is a KxK unit matrix. The product DhD is based on the equation (9) Equation (12) is a unit matrix of mxm. This block is a matrix of the matrix R. This is the multiplication of the moment, such as: Equation (13). 14 1270263 RD: (13) + horse + + ^+^) + + is)

(V i^. J** jl&c iit jlSc Ί5Γ j'ifa + Α<Ρ Wa + 今<? Wa ) +S^eI + jlSfc + ^£~ +ή£~) jlflc jilk(V i^. J** jl&c iit jlSc Ί5Γ j'ifa + Α<Ρ Wa + now<? Wa ) +S^eI + jlSfc + ^£~ +ή£~) jlflc jilk

iiiL il^. ji 知 Wa +Atf Wa (釦 jlSt+i^ iifc. wa +v 乐 j故 + S^£ ^ ) (為£ & & +心% j?^c jlSDc + R^e Wa +^ Λ ) jlD8c jl^lfc (V Wa +i2,^ Wa +^f jhi奴 jlgfk+ ^ +J^£ tfa ) jl你 等式 RJ)之各個項目係一KxK方塊。一方塊對角矩陣Λ係根㈣式(⑷ 「冲) ΛΑ 等式(14) 矩陣Λ之大小係(KNs) x (KNs)。此矩陣Λ之各個Λ(η係根據 等式(15) 〇 # Λ 等式(15:) Λ⑴儀一ΚχΚ方塊,且具有1Η固非零項目。 此矩陣D係乘以此矩陣Λ,諸如:根據等式(π)iiiL il^. ji Know Wa + Atf Wa (deduct jlSt+i^ iifc. wa +v 乐j+ S^£ ^ ) (for £ && + heart% j?^c jlSDc + R^e Wa +^ Λ ) jlD8c jl^lfc (V Wa +i2,^ Wa +^f jhi slave jlgfk+ ^ +J^£ tfa ) jl your equation RJ) each item is a KxK box. A square diagonal matrix Λ system root (4) ((4) "rushing" ΛΑ equation (14) matrix Λ size system (KNs) x (KNs). The matrix Λ each Λ (η according to equation (15) 〇 # Λ Equation (15:) Λ(1) The instrument has a square block and has a 1 Η non-zero item. This matrix D is multiplied by this matrix Λ, such as: according to the equation (π)

DA Λ⑴ J4* j4* Λ叫I _ j8* jl&c · Λ押、丨VTiT jl&c ~ £nr Λ[丨) 心15Γ l^*bc ·· Λ押 Ί jitic himinr Λ⑴ Λ⑴ Λ嘹 )\ύχ 1¾¾ J办 Λ【~Ι · ·. Λ阳Ί .,,丨沒 jl-ark i^H^£ Wa jM4c 等式(16) 15 1270263 在等式(16)中所示矩陣D之各個項目係一ΚχΚ方塊。 經由等於矩陣RJ)之各列及矩陣D之各列所產生等式之系統係 固定的。因此,同組等式係經由等於矩陣任何列及矩陣D相同列 以產生。為介紹等式(13),矩陣RD之第一列方塊係根據等式(π)。 [(R〇+RH+R2H + R, + R2) ^ (R〇e--+RHe--+Rae--^ + R,e—) ^ (R〇e--+Rfe—+R^ , (R〇0j18 "Ns+RHe36·+R2He54"Ns+R2e· a+Rej 180/r/Ns )〕等式(17) 矩陣D之第一列方塊係根據等式(18) 〔Λ ⑴,Λ ⑴ej2"Ns,Λ (3)ej4"Ns,. · · 5 y^cNs-ngj, Λ )^^jl8;r/Ns 等式(18) 相等此兩列之項目,便可以得到等式(19)及等式(2㈧ Λ⑴=(R+RJRM + R + R) 等式(19) Λ⑴e (Re_+RHe ⑽ + RHe— + Re -外 + r e ν ) =e— (R〇+RHe—+ RHe—+ R2e-—+ Re_j2^/Ns 等式(20) 因此,L根據等式(21)。 Λ(ζ)= (R〇+R1Hej2^5+ RHej^Ns+ R2e-^+ R,e-等式(21) 同樣地,Λ-”係根據等式(22)。 J2(N卜2) "Ns 八㈣ 一(R。+ RHei2 ㈣"ns + RHe40^2) "Ns + ㈣"Ns + r g 等式(22) 16 1270263 Λ⑽係根據等式(23)。 八⑽=(R#+R,He錄⑽ + RHe,,、R2e_/外 R,e 等式(23) 雖然等式(17)至等式(23)係介紹使用矩陣r£d及da之第一 列’但任何列均可以用來決定Λ⑴。 為介紹使用一中心列,第(Ns/2)列(或等式(7)之第五列), Λ⑴係根據等式(19) 〇 Λ(η= (Ro + RH + RH + R + RO 等式(19) · 等式(19)至等式(23)係κ’ K方塊之快速傅立葉轉換(pyp)。 由於此等方塊係乘以、純量指數,此步驟係稱之為一,,方塊快速傅立 讀換(FFT) ’’。計算快速傅立葉轉換(FFT)之典型手段,諸如:DA Λ(1) J4* j4* Λ I _ j8* jl&c · Λ,丨VTiT jl&c ~ £nr Λ[丨) 心15Γ l^*bc ·· Λ Ί jitic himinr Λ(1) Λ(1) Λ嘹)\ Ύχ 13⁄43⁄4 J Λ Ι [~Ι · ·. Λ阳Ί .,, 丨 j jl-ark i^H^£ Wa jM4c Equation (16) 15 1270263 Various items of matrix D shown in equation (16) One block. The system of equations generated by the columns equal to the matrix RJ) and the columns of the matrix D is fixed. Therefore, the same set of equations is generated by equalizing any column of the matrix and the same column of matrix D. To introduce equation (13), the first column of the matrix RD is based on the equation (π). [(R〇+RH+R2H + R, + R2) ^ (R〇e--+RHe--+Rae--^ + R,e-) ^ (R〇e--+Rfe-+R^ , (R〇0j18 "Ns+RHe36·+R2He54"Ns+R2e· a+Rej 180/r/Ns )] Equation (17) The first column of matrix D is based on equation (18) [Λ (1), Λ (1) ej2"Ns, Λ (3) ej4"Ns,. · · 5 y^cNs-ngj, Λ )^^jl8;r/Ns Equation (18) Equal to the two columns of items, you can get the equation ( 19) and equation (2(8) Λ(1)=(R+RJRM + R + R) Equation (19) Λ(1)e (Re_+RHe (10) + RHe— + Re -external + re ν ) =e— (R〇+RHe—+ RHe—+ R2e-—+ Re_j2^/Ns Equation (20) Therefore, L is based on the equation (21). Λ(ζ)= (R〇+R1Hej2^5+ RHej^Ns+ R2e-^+ R,e- Equation (21) Similarly, Λ-" is based on equation (22). J2(N卜2) "Ns 八(四)一(R.+ RHei2 (4)"ns + RHe40^2) "Ns + (4)" Ns + rg Equation (22) 16 1270263 Λ(10) is based on equation (23). 八(10)=(R#+R,He recorded (10) + RHe,,,R2e_/external R,e Equation (23) Although the equation (17) to Equation (23) introduces the use of the matrix r£d and the first column of da' but any column can be used to determine Λ(1). Use a central column, the (Ns/2)th column (or the fifth column of equation (7)), and Λ(1) according to the equation (19) 〇Λ(η= (Ro + RH + RH + R + RO etc.) Equation (19) • Equations (19) through (23) are fast Fourier transforms (pyp) of κ' K squares. Since these squares are multiplied by a scalar index, this step is called a, Block Fast Fourier Read (FFT) ''. Typical means of calculating Fast Fourier Transform (FFT), such as:

Matlab軟體之函數fft,係計算一單邊序列之快速傅立葉轉換 (FFT)由於各個八⑴係一雙邊序列,λ之計算係可以利用 一傅立葉轉換函數fft {〇,〇,…,R,R,R,RH,rh,…,〇, 〇 }並將其乘以一中心列之一適當指數函數,諸如:根據等式 讀 (27),加以實施。 、、”中’ p =〔ceil (M/2) —1〕/况等式(27) ^7)至等式(27)所示,計算所有八⑴係可以使用矩 陣R之—早一仃以執行。因此,矩陣亿並不需要加以決定。矩陣Ε 可仃Φ可來直接推導Λ ()。較佳者,本實關係使用距離 矩陣R任意一邊至少㈣之一列,因為此等列係具有-組完整R。 17 !27〇263 使用Λ⑴及矩陣D’方塊循環矩陣iu系可以重新表示為等式(28) 及等式(29) 〇 等式(28) 等式(29)Matlab software function fft, which is a fast Fourier transform (FFT) for calculating a single-edge sequence. Since each eight (1) system is a bilateral sequence, the calculation of λ can use a Fourier transform function fft {〇, 〇, ..., R, R, R, RH, rh, ..., 〇, 〇} and multiply it by a suitable exponential function of a central column, such as: according to the equation read (27), implemented. , "中中 p = [ceil (M/2) - 1] / conditional equation (27) ^7) to equation (27), calculate all eight (1) systems can use the matrix R - early one Therefore, the matrix does not need to be determined. The matrix Ε Φ can be directly derived Λ (). Preferably, the real relationship uses at least one of the four sides of the distance matrix R, because these columns have - Group complete R. 17 !27〇263 Using Λ(1) and matrix D' square circulant matrices iu can be re-expressed as equation (28) and equation (29) 〇 equation (28) equation (29)

RcD=DARcD=DA

Rc= (l/K) (DAD〇 矩陣D及Λ係分別為大小(ΚΝ) χ (KR) 由於D»D=NSLS’D—(i/n ) Dh,因此便可以得到等式(3〇)。 Rc-i-Ns ( (D〇 (D) =Ns ( (D/Ns) Λμ (Dh/n )〕Rc= (l/K) (DAD〇 matrix D and Λ are respectively size (ΚΝ) χ (KR) Since D»D=NSLS'D—(i/n ) Dh, the equation can be obtained (3〇 Rc-i-Ns ( (D〇(D) = Ns ( (D/Ns) Λμ (Dh/n )]

等式(30) 此人機系統工程(MMSE)解法係根據等式(31)。 萨R—! (A〇 等式(31) 偵測之資料向量这係大小(孤)xl。 此人機系統工程(MMSE)解法係根據等式(32)。 D«d=A-i (D« (A〇 ] 等式(32)Equation (30) This Human Machine System Engineering (MMSE) solution is based on equation (31). Sa R—! (A〇 equation (31) The data vector detected is the size (orphan) xl. This human-machine system engineering (MMSE) solution is based on equation (32). D«d=Ai (D« (A〇) Equation (32)

矩陣Λ係大小(KNs) x (KNs),其具有1[>1方塊,並且,矩陣 Λ之逆矩陣係根據等式(33)。 W r , 1 w r 卜Γ Λ-1- . Λ㈣· — - μ㈣广 等式(33) 此逆轉換係需要ΚχΚ矩陣Λ⑴之一逆矩陣。 因此’此資料向量4係根據等式(34)以決定。 18 !27〇263 f F ⑷〕=〔U ''〔F (Ay)〕k等式(34) β (34)係可關時制於以—倍^辭及複數倍晶片 f ’諸如:兩倍晶片速率,取樣此接收信號之接㈣。對於複 文倍晶片速率之接收器而言,對應複數位晶片速率之矩_係與等 式(9)之形式相同,其係近似於方塊循環的。The matrix system size (KNs) x (KNs) has 1 [> 1 square, and the inverse matrix of the matrix 根据 is based on equation (33). W r , 1 w r Γ Λ Λ -1-. Λ (4)· — - μ (4) 广 Equation (33) This inverse transformation requires an inverse matrix of one of the matrices Λ (1). Therefore, this data vector 4 is determined according to equation (34). 18 !27〇263 f F (4)]=[U ''[F (Ay)]k Equation (34) β (34) can be closed at times - times and multiples of wafer f 'such as: twice The chip rate is sampled (4) of the received signal. For a receiver with a multiple wafer rate, the moment corresponding to the complex bit rate is in the same form as equation (9), which approximates a block cycle.

為降低决疋F (A〇之複雜性’本實施例係可以使用對結構a 有利之—種快速傅立葉轉換㈣)手段。結構a係具有一近似方 塊循環之結構。然、而,結構錄一非方形矩陣,其大小為⑽), (RK)。一矩陣A之一介紹係根據等式(35)。 歌(〇) 「to ΨΚΙ) [m 蚁⑴ W\2) to) &2l a V)(o)俨(〇, 獅呦(〇) 〇 0 ή[η(〇) bn〇) 等式(35)In order to reduce the complexity of F (A's complexity, this embodiment may use a fast Fourier transform (4)) which is advantageous for structure a. Structure a has a structure that approximates a block cycle. However, the structure records a non-square matrix with a size of (10)), (RK). An introduction to one of the matrices A is based on equation (35). Song (〇) "to ΨΚΙ" [m ant (1) W\2) to) & 2l a V) (o) 俨 (〇, 狮呦(〇) 〇0 ή[η(〇) bn〇) 35)

各個bi (k) (i )係此通道響應h⑴及此擴散資料碼c(k之疊積 其係對應於在第i個符號間隔之第j個晶片間隔之第1^個使用者。 使用方塊B (·),其中,各個方塊係利用等式(35)中之括 號表示,等式(35)係變成等式(36)。 0 廳膽 0 0 臞鼸· 0 0 麵臞 0 5(2) 5(1) B(O) :: :」等式(36) 一卵)0 〇 ^(Ό B(O) 〇 5(2) B ⑴ 5(0) = ; : 〇 0 …Each bi (k) (i) is the channel response h(1) and the spread data code c (the stack of k corresponds to the first user of the jth wafer interval at the ith symbol interval. B (·), where each block is represented by the brackets in equation (35), and equation (35) becomes equation (36). 0 Hall 0 0 臞鼸· 0 0 Face 臞 0 5 (2 5(1) B(O) :: :" Equation (36) An egg) 0 〇^(Ό B(O) 〇5(2) B (1) 5(0) = ; : 〇0 ...

19 !270263 如上式所示,矩陣A之-部分係方塊循環的 延展係標示為4。 平心循% 矩陣A係可以根據等式(37)切割為三個矩陣分。 A=Di Λ .D2H 荨式(37),係一⑽㈣鄭車,, Λ,係一大小(NsSF) x (麗)之方塊對角矩陣。 此方塊對角矩陣Λ,係具有解式(⑷相同之形式。缺而, 矩陣Λ之各個項目Λ,⑴根據等式(38)係―SM方塊f, Λ, Λ丨 睡 in in ^ in in 〜f在 等式(38) n \〇Ό J 祕與等式(11)中之矩陣D具有相同形式^係等式(邪) 示之形式。19 !270263 As shown in the above formula, the extension of the matrix A is marked as 4 by the extension of the block cycle. The flat core cycle A matrix can be cut into three matrix scores according to equation (37). A=Di Λ .D2H 荨 (37), is a (10) (four) Zheng car, Λ, is a square diagonal matrix of a size (NsSF) x (Li). This cube diagonal matrix Λ has a solution ((4) the same form. Missing, matrix Λ various items Λ, (1) according to equation (38) series - SM box f, Λ, sleep in in ^ in in 〜f is in the equation (38) n \〇Ό J 秘 and the matrix D in equation (11) has the same form ^ is the form of the equation (evil).

ύι j±l J e ISF e ^ ISF I jIScΎι j±l J e ISF e ^ ISF I jISc

D,: J 叫 )4ύκ jlSx _ g Wa T _ g Wa J m j i gy _ 这仅i ! 繼籌·D,: J is called) 4ύκ jlSx _ g Wa T _ g Wa J m j i gy _ This is only i!

jlBfik g""STjlBfik g""ST

L係一 SFxSF單位矩陣 等式(39) 仙乘九及如夺’形式’ B⑴及卜L ’之乘積係根據等式⑽) 以形成。 20 !27〇263 I聊則‘啊丨醉^印卢丨卢··丨嗍^ ΒΠ)# ‘L system - SFxSF unit matrix Equation (39) The product of the singularity of IX and the suffix 'form' B(1) and 卜' is formed according to equation (10)). 20 !27〇263 I chat ‘啊丨醉^印卢丨卢··丨嗍^ ΒΠ)# ‘

羚 作 N 吟 N· 如J > » *Antelope N 吟 N· 如 J > » *

猶 · I • · 1 叫 哗 pm 作 阼 叫犹 · I • · 1 哗 pm 作 阼

AcD2 — 等式(40) 尬之大小係(NsSF) x (RK),且各個方塊之大小係sf,k。AcD2 — Equation (40) The size of the 尬 (NsSF) x (RK), and the size of each block is sf, k.

在相乘矩陣以及八^寺,形式,(i),之乘積係加以 形成。&Λ之大小係(MSF) X (M)、且各個方塊之大小係sFxK。 比較矩陣AJM壬何列及矩陣&Λ湘同列,便可以得到等式(41)。 九(1) =〔B (0) +B (1) +B (2)〕, 八' (2) =〔 Β ( 0) + Β (1) e,/Ns + Β ( 2 ) e-i4"Ns〕, A!(Ns-·1) =〔B(〇) +B (1) e_i,2)"Ns +B (2) e-j4(Ns-2)"Ns〕, A. (Ns) = (B(0) +B (1) e-j2(Ns-,);r/Ns+B (2) 0-i4(Ns-l) ff/Ns ^ 等式(41) 因此,各個Λ, (k)係可以使用(SFxK)方塊之一單邊序列加 以決定。使用等式(38) &D2HD2=NSL,便何以得到等式(42)、 等式(43)及等式(44)。 等式(42) 等式(43) 等式(44)In the multiplication matrix and the eight temples, the form, (i), the product system is formed. &Λ size system (MSF) X (M), and the size of each block is sFxK. Comparing the matrix AJM and the matrix & Xiang Xiang in the same column, you can get the equation (41). Nine (1) = [B (0) + B (1) + B (2)], eight ' (2) = [ Β ( 0) + Β (1) e, /Ns + Β ( 2 ) e-i4&quot ;Ns], A!(Ns-·1) =[B(〇) +B (1) e_i,2)"Ns +B (2) e-j4(Ns-2)"Ns], A. (Ns) = (B(0) + B (1) e-j2(Ns-,); r/Ns+B (2) 0-i4(Ns-l) ff/Ns ^ Equation (41) Therefore, Each Λ, (k) can be determined using one-sided sequence of one of the (SFxK) blocks. Using equations (38) & D2HD2 = NSL, how do you get equations (42), (43), and equations? (44) Equation (42) Equation (43) Equation (44)

A=Di Λ iDJJ ΑϋΗ (D丑) DJi (A〇 =Ns〔ΛΉ (DH )〕 21 1270263 因此,〔F(A〇〕k係根據等式(45)、使用快速傅立葉轉 換(FFT)加以決定。 〔F (A〇〕k=Ns〔 Λι〇〇〕《〔F (I)〕k等式(45) 同樣地,由於矩陣A係近似方塊循環的,r=A„a+ σ2ΐ亦可以利 用使用Λ之快速傅立葉轉換(FFT)加以計算。 為降低複雜性,各個Λ⑴之逆矩陣,〔Λ⑴〕-1,係可以使用lu 分解加以執行。各個〔Λ〇係一(ΚχΚ)矩陣,其LU分解係根據等 式(46) 〇 A(i)=Ll^ ^ ^ ^ ^ ^ 等式(46) L係一下三角矩陣,且u係一上三角矩陣。等式(7)係根據等 式(47)及等式(48)、使用前向及後向替代法求解。 〔(k)〕〔f (Ay)〕k 等式(47) 〔 Ag (k)〕H〔F (3)〕k 等式(48) 車乂佺者,為改善在各個資料場域22、24端點之資料符號之位 凡秩差率(BER),來自中間文字部分2〇及看守周期18之取樣係用 於第五圖所示之資料_中。為收㈣料場域中最後符號之所有 取樣,用以決定[之取樣係向中間文字20及看守周期18内延展 晶片(脈衝響應之長度)。此延展係考量此場域最後符號之大體 上所有轉簡於麵侧巾。對於資料場域丨22而言,此等取 樣係向中Μ字魄展卜丨晶片。此中間文字相係在資料偵測 处里月J由中間文字2〇計算之取樣中刪去。對於資料場域2 24而 1270263 言,此等取樣係向看守周期18内延展^—〗晶片。 …特疋之快稍立葉雜(FFT)實絲需要—較場域長度以 絲分析。此等快逮傅立葉轉換(FFT)實施之—係—主要因子演 异法(PFA)。此主要因子演算法(pFA)實施係需要此場域長度 為-主要數目,諸如:六十—個。為方便主制子演算法⑽) 快速傅立葉娜_實施,之轉雜好延展一預 定主要肝演算法⑽)储。如第五騎示,f料場域】及資 料場域2係延展P晶片至想要之主要因子演算法(p⑷長度。或者, 六十-個符號之方塊快逮傅立葉轉換⑽)係延展至長度六十四 之方塊快速傅立葉轉換(FFT),其係需私個快速傅立葉轉換㈣) 計算。由練陣炫—方賴義陣之近_得以減少,其效能典 型地便會改善。 ((K斗K)/2)〔2(SF+W-1) — υ -((Κ2-ΙΟ/2) (SF+W-D,其中,ϋ + W-1) /SF) +1) 等式(49) 快速聯合伽之計算複雑之—分_酬如下。# a之叶 算複雜性係KxSFxW。計算M之計算複雜係根據等式(^。A=Di Λ iDJJ ΑϋΗ (D ugly) DJi (A〇=Ns[ΛΉ (DH )] 21 1270263 Therefore, [F(A〇]k is determined according to equation (45) using Fast Fourier Transform (FFT) [F (A〇]k=Ns[ Λι〇〇]"[F (I)]k equation (45) Similarly, since matrix A is approximately square-loop, r=A„a+ σ2ΐ can also be used. The fast Fourier transform (FFT) of Λ is calculated. To reduce the complexity, the inverse matrix of each Λ(1), [Λ(1)]-1, can be performed using lu decomposition. Each [Λ〇 一 (ΚχΚ) matrix, its LU decomposition According to the equation (46) 〇A(i)=Ll^ ^ ^ ^ ^ ^ Equation (46) L is a triangular matrix, and u is an upper triangular matrix. Equation (7) is based on the equation (47) And equation (48), using forward and backward substitution methods. [(k)][f (Ay)]k Equation (47) [Ag (k)]H[F (3)]k, etc. (48) For the ruling, in order to improve the position difference (BER) of the data symbols at the end points of each data field 22, 24, the sampling from the intermediate text part 2〇 and the carettage period 18 is used for the first The information shown in Figure 5 is in the middle. (d) All samples of the last symbol in the yard field are used to determine [the sampling system extends the wafer to the intermediate text 20 and the caret period 18 (the length of the impulse response). This extension considers the generalization of the last symbol of this field. In the data field 丨22, these sampling systems are used to spread the dice to the Chinese character. This intermediate text is in the data detection section. In the data field 2 24 and 1270263 words, these sampling systems are extended to the caretaker cycle 18 - the wafer. ...Special 快 稍 立 叶 FFT (FFT) silk needs - the length of the field is silk Analysis. These fast-following Fourier transform (FFT) implementations—the main factor-difference method (PFA). This main factor algorithm (pFA) implementation requires this field length to be - the main number, such as: sixty - For the convenience of the main algorithm (10)) Fast Fouriera _ implementation, the conversion of the good extension of a predetermined main liver algorithm (10)) storage. Such as the fifth riding, f material field] and data field 2 system extension P chip to the main factor algorithm you want (p(4) length Or, the sixty-symbol block fast catching Fourier transform (10) is extended to a length of sixty-four square fast Fourier transform (FFT), which requires a private fast Fourier transform (four)) calculation. The performance of the array is reduced, and its performance is usually improved. ((K D K)/2) [2 (SF + W - 1) - υ - ((Κ 2ΙΟ / 2) (SF + WD, where , ϋ + W-1) / SF) +1) Equation (49) The calculation of the fast joint gamma is based on the following. # a之叶 The complexity is KxSFxW. The computational complexity of the calculation M is based on the equation (^.

〕(ru/2 ) (R,((SF -矩陣向量乘法係計算(a〇m得到,其具有—複雜陋(sf 刊-υ。計算矩触第i行方塊之快速傅立葉轉換(fft)係需要 【X (R1。成)個計算。計算一之傅立葉轉換係f撕(N,_)個 計算。各個矩陣〔h〕之逆矩陣,在不使嶋olesky分解的情況 23 1270263 * 下’係需要K3個計算。對於R個頻率點而言,整體計算數目係贼3。 打〔F⑷〕k=〔Λ⑴〕H〔F (A、)〕k係需要【個乘法(對於Ns 個頻率點而言)。因此,整體計算數目係Νκ個。〔F (έ)〕之逆 快速傅立葉轉換(FFT)係需要K (N1〇gN)個計算。 為介紹快速聯合偵測之複雜性,處理分時雙工(TDD) 广甘曰各λΤ ΓΛΤ-ί 、~ 取赏顯 型I (其具有㈣76、SF = 16、κ=8、Ν = 6_=57)之每秒 實數運算⑽Ps)係加以決定。矩陣Α、㈤、矩陣反之一行方 :鬼、〔Λ;〕-,之繼^〕 (ru/2) (R, ((SF-matrix vector multiplication system calculation (a〇m is obtained, which has - complex 陋(sf-υ. Calculate the fast Fourier transform (fft) of the ith row of the moment) [X (R1.) calculation is required. Calculate a Fourier transform system f tear (N, _) calculations. The inverse matrix of each matrix [h], without decomposing 嶋olesky 23 1270263 * K3 calculations are required. For R frequency points, the total number of calculations is thief 3. Playing [F(4)]k=[Λ(1)]H[F(A,)]k requires [multiplication (for Ns frequency points) Therefore, the total number of calculations is κ. The inverse fast Fourier transform (FFT) of [F (έ)] requires K (N1〇gN) calculations. To introduce the complexity of fast joint detection, processing time-sharing Duplex (TDD) 甘 曰 λ Τ ί ί ί ί ί ~ ί ί ί ί ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( Matrix Α, (5), matrix, and vice versa: ghost, [Λ;]-, followed by ^

Av、F〔Αν〕之計算,〔F⑷ :轉:算_叢發執行…㈣:每==轉: = 觸物知_。峨梅紹於第 量_個叢-計算A MR0PS 計算Μ 3.0 計算F (j 4.4 吕十鼻〔Λ⑴〕、, 9. 2614 12. 4928 每個_叢發勃t MROPS 計算Ay 計算F〔Ατ〕 28.11 2· 3154 1270263 計算F〔〇n〕dA小〔F(AT)〕k 八 3.1232 F〔(d )〕之逆快速傅立葉轉換2.3154 快速聯合偵測所需之全部每秒 65. 0182 … 白萬實數知作(MR0PS)數目 第一表 註:在第—表中,⑻係直接計算以作為-矩陣向量乘法。 右LU刀解係用以决疋〔A(k)〕_,,則複雜性係降低至% 8678每 秒百萬實數操作⑽PS)。若快速傅立葉轉換(fft)係用以決 定⑻,則複雜性係由65._每秒百萬實數操作(贈s)降 低至63· 9928每秒百萬實數操作(败〇pS)。 快速聯合偵測及其他偵測技術之複雜性比較係說明如下。對 於分時雙工(TDD)叢發類型丨(其具而言,下 列三種技術之複雜性係根據第二表。Calculation of Av, F[Αν], [F(4): turn: calculation_cluster execution... (four): every == turn: = touch matter know _.峨梅绍在第一量_ 丛丛-calculation A MR0PS calculation Μ 3.0 Calculation F (j 4.4 Lu ten nose [Λ(1)],, 9. 2614 12. 4928 Each _ 丛发勃 t MROPS Calculation Ay Calculation F [Ατ] 28.11 2· 3154 1270263 Calculate F[〇n]dA small [F(AT)]k VIII 3.1232 F[(d)] inverse fast Fourier transform 2.3154 Fast joint detection required all 65. 0182 ... Bai Wan The number of real numbers (MR0PS) is the first note: in the first table, (8) is directly calculated as a -matric vector multiplication. The right LU knife solution is used to determine [A(k)]_, then complexity The system is reduced to % 8678 million real operations per million (10) PS). If Fast Fourier Transform (fft) is used to determine (8), the complexity is reduced from 65._ million real operations per second (send s) to 63. 9928 million real operations per second (failed pS). The complexity comparison of fast joint detection and other detection techniques is described below. For the time division duplex (TDD) burst type 丨 (in other words, the complexity of the following three techniques is based on the second table.

&Ά MRQPS 近似Cholesky基礎聯合偵測(JDChol) 82. 7 單一使用者偵測:跟隨一Hadamard轉換 基礎擴散(SDChol)之近似Cholesky基礎等化 205. 2276 快速聯合偵測(JDFFT) 65.0182 25 1270263 弟二表 二種_技術及-參考匹配濾波(MF) f料侧技術之效能 糸根據超過⑽_之模擬轉彳爾。蝴_使用軟體 athb所提供之精密度,亦即:不考慮有限精密度效應。此等模 擬係使用寬頻分碼多重存取(w—_)分時雙工⑽)第四组&Ά MRQPS Approximate Cholesky Basic Joint Detection (JDChol) 82. 7 Single User Detection: Following a Hadamard Transformation Basis Diffusion (SDChol) Approximate Cholesky Basic Equalization 205. 2276 Fast Joint Detection (JDFFT) 65.0182 25 1270263 The second type of _Technology and - Reference Matching Filter (MF) f The performance of the material side technology is based on the simulation of more than (10)_. Butterfly _ use the precision provided by the software athb, that is, does not consider the limited precision effect. These simulations use wideband code division multiple access (w-_) time division duplex (10)) fourth group

⑽)所狀之称料6勝8及12,且執行於沒有雜多 樣性之下行鍊路,藉以方便與單—使用者侧之比較。 如第六圖及第七圖分別所示,對於第一例及第三例而言,快 速耳㈣彳貞測(IDFTT)之效能彳轉常接近於0^16^基礎聯合摘測 (JDChol)。其他的資料侧方式之效能並未如__基礎聯 合谓測(JDChol)或快速聯合侦測(聰τ)。對於第八圖所示之 分時雙工(TDD)第izg組(WG4)之第二例通道而言,快速聯合债 測(JDFFT)相較於Cholesky基礎聯合偵測(jDChol )似乎呈現某(10)) The scales are 6 wins 8 and 12, and are executed without the heterogeneity of the downlink, so as to facilitate comparison with the single-user side. As shown in the sixth and seventh figures, for the first and third cases, the performance of the fast ear (four) speculation (IDFTT) is often close to 0^16^ basic joint sampling (JDChol) . The performance of other data side methods is not as good as __based joint predicate (JDChol) or fast joint detection (constrained τ). For the second channel of the Time Division Duplex (TDD) izg group (WG4) shown in Figure 8, the Fast Joint Debt Test (JDFFT) appears to present a certain comparison with the Cholesky Basic Joint Detection (jDChol).

些衰退。此亦同樣發生於單一使用者偵測(SUD)基礎之Ch〇lesky 演算法(SDChol)。對於一高資料速率服務而言,諸如:一2Μ_ 服務(如第九圖至第十一圖所示),快速聯合偵測(jDpyp)之表 現係接近或略遜於Cholesky基礎聯合偵測(jDChol)、但卻優於 其他方式。 【圖式簡單說明】 26 1270263 第一圖係一無線通信系統。 第二圖係一簡化傳輸器及一快速聯合偵測接收器。 第三圖係一通信叢發之一介紹。 第四圖係快速聯合偵測之一較佳實施例之一流程圖。 苐五圖係指示擴充處理區域之一資料叢發之一介紹。 第六圖至第十一圖係介紹其他資料偵測手段之快速聯合偵測之模 擬效能之圖示。 【元件符_觸】 _ 10:無線通信系統 12、I2j_〜12§ ·基地台 14、14〜14:使用者設備(皿) 16 :典型通信叢發 18 :看守周斯 加:中間文字 22、24 :資料場域 · 26 :簡化傳輸器 28 :接收器 30 :無線放射通道 32 :資料產生器 34:調變/擴散,練序列插入裝置 27 1270263 36 :調變器 40 :天線 42 :解調器 43 :取樣裝置 44 :通道估算裝置 46 :快速聯合偵測裝置Some recessions. This also occurs in the Single User Detection (SUD) based Ch〇lesky algorithm (SDChol). For a high data rate service, such as: a 2 Μ _ service (as shown in Figure IX to Figure 11), the performance of fast joint detection (jDpyp) is close to or slightly less than Cholesky basic joint detection (jDChol) ), but better than other methods. [Simple description of the diagram] 26 1270263 The first diagram is a wireless communication system. The second figure is a simplified transmitter and a fast joint detection receiver. The third picture is an introduction to a communication burst. The fourth diagram is a flow chart of one of the preferred embodiments of fast joint detection. The fifth picture shows one of the data bursts in the extended processing area. Figures 6 through 11 show graphical representations of the simulated performance of fast joint detection of other data detection methods. [Component_Touch] _ 10: Wireless communication system 12, I2j_~12§ · Base station 14, 14~14: User equipment (dish) 16: Typical communication burst 18: Guardian Zhou Jia: Intermediate text 22, 24: Data field · 26: Simplified transmitter 28: Receiver 30: Wireless radiation channel 32: Data generator 34: Modulation/diffusion, sequence insertion device 27 1270263 36: Modulator 40: Antenna 42: Demodulation 43: sampling device 44: channel estimating device 46: fast joint detecting device

Claims (1)

1270263 拾、申請專利範圍: 1·-種分碼多重存取使用者設備,該翻者設備係接_一共用 頻瑨上方之κ資料信號,該使用者設備包含: 接收及取樣-具有在該共用頻譜上方之轉料之組合信號之 裝置; 使用4K資料之資料碼及脈衝響應以產生一組合頻道響應之 裝置;… 使用該組合頻道響應矩陣以決定一交互關連矩陣之一方塊行 之裝置,該方塊行之每一方塊項目係為一κ*κ矩陣; ⑽倾合錢取樣之馳合猶無矩陣之一複共 軛轉置之一傅立葉轉換之裝置; 將每-方塊彻之—傅立雜換之—稍絲_傅立葉轉 換之4^以產生该資料向量之一傅立葉轉換之裝置;以及 計算該資料向量傅立葉轉換之一逆傅立葉轉換以產生該Κ資 料信號之資料之裝置。、 2. -種分碼多重存取基地台,該基地台係接收在—共闕譜上方 之Κ資料信號,該基地台包含: 接收及取樣-具有在該共用頻譜上方之〖資料之組合信號之 裝置; 使用該Κ資料之資料碼及脈衝響應以產生一組合頻道響應之 裝置; 曰’ 使用触合紐_矩_決定—交互目輕陣之一方塊行 29 K70263 之裝置,該方塊行之每一方塊項目係為一κ视矩陣; 計算乘以該等組合信號取樣之該組合通道響應矩陣之一複共 幸厄轉置之一傅立葉轉換之裝置; 將每-方塊項目之-傅立葉轉換之—逆轉換乘贿傅立葉轉 換之-結果以產生該⑽向量之—傅立葉轉換之裝置;以及 計算該㈣向錄立轉叙—逆壯葉賴喊生該轉 料信號之資料之裝置。 3. 如申請專職圍釘綱叙纟,財計算轉立葉轉換係 利用將馳合通道㈣_之該共_錄_組合信號取樣, 並計算該共補置乘法之-結果之—壯雜換。 4. 如申請相細第2撕狀基地台,財靖角鱗之該等方 塊項目之一Cholesky分解係用以決定該資料。 5. 如申請專利範圍第2項所述之基地台,其中該資料決定係發生於 -分時雙工通信叢發之-資料場域__,且料組合信號取 樣係延展超過該資料場域時間周期。 6·如申請專利範圍第5項所述之基地台,其中該等組合信號取樣之 延展取樣係延展超過該資料場域時間周期達該脈衝響應之一長 度。 •如申月專她®第5項所述之基地台,其中該等組合信號取樣係 延展超職:_域_期,__組合信號之-長度成 為與一主子法快速傅立葉無相容之—長度。 30 1270263 8·如申請專利範圍第丨項所述之使用者設備,其十計算該傅立葉轉 換係利用將該組合通道響應矩陣之該共輛轉置乘以該組合信號取 樣’並計算該共軛轉置乘法之一結果之一傅立葉轉換。 9/如申請翻顧第丨柄述之使时設備,針該對肖矩陣之該 等方塊項目之一Cholesky分解係用以決定該資料。 ίο.如申請專利範圍第i項所述之使用者雜,其中該資料決定係 發生於-分時雙工通信叢發之—麟場域時間職,雌等組合 信號取樣係延展超過該資料場域時間周期。口 π.如申請專利舰_所述之仙者設備,其中該等組合信號 取樣之延展取·延展超職資料場域時關期賴脈衝響應之 一長度。 12.如申請專利範圍第10項所述之使用者設備,其中該等组合 取樣係延展超過該資料場域時間 、 ^ 旦痒士达t 才门周期,错以使該等組合信號之一 長度成為與—_子演算法快逮傅立_相容之-長度。 1270263 柒、 指定代表圖: (一) 本案指定代表圖為:第(二)圖。 (二) 本代表圖之元件代表符號簡單說明: 26 :簡化傳輸器 28 :接收器 30 :無線放射通道 32 :資料產生器 34 :調變/擴散/訓練序列插入裝置 36 :調變器 40 :天線 42 :解調器 43:取樣裝置 44:通道估算裝置 46 :快速聯合偵測裝置 捌、 本案若有化學式時,請揭示最能顯示發明特徵的化學式:1270263 picking up, claiming patent scope: 1·- type code multiple access user equipment, the flipping device is connected to a κ data signal above the shared frequency, the user equipment comprises: receiving and sampling - having Means for combining the combined signals of the material transfer over the frequency spectrum; means for generating a combined channel response using the data code and impulse response of the 4K data; ... using the combined channel response matrix to determine a block of one of the interactive relation matrix blocks, Each block item of the block line is a κ*κ matrix; (10) a device for blending money sampling without a matrix of one of the complex conjugate transposes of Fourier transform; A device for generating a Fourier transform of the data vector; and means for calculating an inverse Fourier transform of the data vector Fourier transform to generate data of the data signal. 2. A multi-access base station of the code division, the base station receives a data signal above the common spectrum, the base station includes: receiving and sampling - a combined signal having a data above the shared spectrum The device uses the data code and the impulse response of the data to generate a combined channel response device; 曰 'Use the touch button _ _ decision - the device of the interactive light matrix block 29 K70263, the block Each block item is a κ viewing matrix; a device that multiplies one of the combined channel response matrices of the combined signal samples to perform a Fourier transform; a Fourier transform of each of the square items - means for inversely converting the double-leaf transformation of the bribe to produce the (10) vector-Fourier transform; and calculating the means for recording the data of the transfer signal. 3. If you apply for a full-time syllabus, the financial calculation of the conversion of the vertical leaf is to use the combination of the commencing channel (four) _ the _ record _ combined signal, and calculate the total complement multiplication - the result of the - Zhuang miscellaneous. 4. If the application is the second torn base station, one of the block projects of Caijing Corner Scale is used to determine the data. 5. If the base station mentioned in the second paragraph of the patent application is applied, the data decision occurs in the data-domain __ of the time-division duplex communication burst, and the combined signal sampling system extends beyond the data field. Time period. 6. The base station of claim 5, wherein the extended sampling of the combined signal samples extends beyond the data field time period to a length of the impulse response. • For the base station described in Shen. 5, the combined signal sampling system is extended over-the-counter: _ domain _ period, __ combined signal-length becomes non-compatible with a master sub-method fast Fourier -length. 30 1270263. The user equipment of claim 2, wherein the Fourier transform system calculates the common signal transposition by multiplying the common transposition of the combined channel response matrix by the combined signal and calculates the conjugate One of the results of transposition multiplication is a Fourier transform. 9/ If an application is made to refer to the timing device, one of the blocks of the pair of cubes is used to determine the data. Ίο. As described in the application of the scope of the patent range i, wherein the data is determined to occur in the time-sharing duplex communication burst--Lin field time, the female combined signal sampling system extends beyond the data field Domain time period. Port π. As claimed in the patent ship _ the device of the immortal, wherein the combined signal sampling extends and extends the length of the overdue data field. 12. The user equipment of claim 10, wherein the combined sampling system extends beyond the data field time, and the ticks are t-gate periods, and the length is one of the combined signals. Become the -_ sub-algorithm fast catching Fu Li _ compatible - length. 1270263 柒, designated representative map: (1) The representative representative of the case is: (2). (b) The representative symbol of the representative figure is a simple description: 26: simplified transmitter 28: receiver 30: wireless radiation channel 32: data generator 34: modulation/diffusion/training sequence insertion device 36: modulator 40: Antenna 42: Demodulator 43: Sampling device 44: Channel estimation device 46: Fast joint detection device 捌 In the case of a chemical formula, please disclose the chemical formula that best shows the characteristics of the invention:
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